Basic Math Examples

$(7 - 6 \frac{3}{4}) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1

Convert $6 \frac{3}{4}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

$(7 - (6 + \frac{3}{4})) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1.2

Add $6$ and $\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(7 - (6 \cdot \frac{4}{4} + \frac{3}{4})) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1.2.2

Combine $6$ and $\frac{4}{4}$ .

$(7 - (\frac{6 \cdot 4}{4} + \frac{3}{4})) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1.2.3

Combine the numerators over the common denominator.

$(7 - \frac{6 \cdot 4 + 3}{4}) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply $6$ by $4$ .

$(7 - \frac{24 + 3}{4}) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 1.2.4.2

Add $24$ and $3$ .

$(7 - \frac{27}{4}) (4 \frac{1}{3} + 1 \frac{5}{6})$

Step 2

Convert $4 \frac{1}{3}$ to an improper fraction.

Tap for more steps...

Step 2.1

A mixed number is an addition of its whole and fractional parts.

$(7 - \frac{27}{4}) (4 + \frac{1}{3} + 1 \frac{5}{6})$

Step 2.2

Add $4$ and $\frac{1}{3}$ .

Tap for more steps...

Step 2.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(7 - \frac{27}{4}) (4 \cdot \frac{3}{3} + \frac{1}{3} + 1 \frac{5}{6})$

Step 2.2.2

Combine $4$ and $\frac{3}{3}$ .

$(7 - \frac{27}{4}) (\frac{4 \cdot 3}{3} + \frac{1}{3} + 1 \frac{5}{6})$

Step 2.2.3

Combine the numerators over the common denominator.

$(7 - \frac{27}{4}) (\frac{4 \cdot 3 + 1}{3} + 1 \frac{5}{6})$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $4$ by $3$ .

$(7 - \frac{27}{4}) (\frac{12 + 1}{3} + 1 \frac{5}{6})$

Step 2.2.4.2

Add $12$ and $1$ .

$(7 - \frac{27}{4}) (\frac{13}{3} + 1 \frac{5}{6})$

Step 3

Convert $1 \frac{5}{6}$ to an improper fraction.

Tap for more steps...

Step 3.1

A mixed number is an addition of its whole and fractional parts.

$(7 - \frac{27}{4}) (\frac{13}{3} + 1 + \frac{5}{6})$

Step 3.2

Add $1$ and $\frac{5}{6}$ .

Tap for more steps...

Step 3.2.1

Write $1$ as a fraction with a common denominator.

$(7 - \frac{27}{4}) (\frac{13}{3} + \frac{6}{6} + \frac{5}{6})$

Step 3.2.2

Combine the numerators over the common denominator.

$(7 - \frac{27}{4}) (\frac{13}{3} + \frac{6 + 5}{6})$

Step 3.2.3

Add $6$ and $5$ .

$(7 - \frac{27}{4}) (\frac{13}{3} + \frac{11}{6})$

Step 4

To write $7$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(7 \cdot \frac{4}{4} - \frac{27}{4}) (\frac{13}{3} + \frac{11}{6})$

Step 5

Combine $7$ and $\frac{4}{4}$ .

$(\frac{7 \cdot 4}{4} - \frac{27}{4}) (\frac{13}{3} + \frac{11}{6})$

Step 6

Combine the numerators over the common denominator.

$\frac{7 \cdot 4 - 27}{4} (\frac{13}{3} + \frac{11}{6})$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply $7$ by $4$ .

$\frac{28 - 27}{4} (\frac{13}{3} + \frac{11}{6})$

Step 7.2

Subtract $27$ from $28$ .

$\frac{1}{4} (\frac{13}{3} + \frac{11}{6})$

Step 8

To write $\frac{13}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{4} (\frac{13}{3} \cdot \frac{2}{2} + \frac{11}{6})$

Step 9

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 9.1

Multiply $\frac{13}{3}$ by $\frac{2}{2}$ .

$\frac{1}{4} (\frac{13 \cdot 2}{3 \cdot 2} + \frac{11}{6})$

Step 9.2

Multiply $3$ by $2$ .

$\frac{1}{4} (\frac{13 \cdot 2}{6} + \frac{11}{6})$

Step 10

Combine the numerators over the common denominator.

$\frac{1}{4} \cdot \frac{13 \cdot 2 + 11}{6}$

Step 11

Simplify the numerator.

Tap for more steps...

Step 11.1

Multiply $13$ by $2$ .

$\frac{1}{4} \cdot \frac{26 + 11}{6}$

Step 11.2

Add $26$ and $11$ .

$\frac{1}{4} \cdot \frac{37}{6}$

Step 12

Multiply $\frac{1}{4} \cdot \frac{37}{6}$ .

Tap for more steps...

Step 12.1

Multiply $\frac{1}{4}$ by $\frac{37}{6}$ .

$\frac{37}{4 \cdot 6}$

Step 12.2

Multiply $4$ by $6$ .

$\frac{37}{24}$

Step 13

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{24}$

Decimal Form:

$1.541\overline{6}$

Mixed Number Form:

$1 \frac{13}{24}$